document.write( "Question 1003627: A car dealer stocks mid-size and full size cars on her lot, which holds 75 cars. On the average she borrows $10,000 to purchase a mid-size car and $15,000 to purchase a full-size car. How many cars of each type could she stock if her total debt is 1 million? please include steps. thanks!! \n" ); document.write( "
Algebra.Com's Answer #620398 by Theo(13342)![]() ![]() You can put this solution on YOUR website! m = numbr of midsized cars. \n" ); document.write( "f = number of full sized cars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m + f = 75 \n" ); document.write( "10,000m + 15,000f = 1,000,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you need to solve both these equations simultaneously to get a solution that is common to both.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first equation says total number of midsize and fullsize cars is equal to 75.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "second equation says total amount of money paid for midsize cars and full size cars is 1,000,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of the first equation by 10,000 and bring down the second equation unchanged to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10,000m + 10,000f = 750,000 \n" ); document.write( "10,000m + 15,000f = 1,000,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract the first equation form the second equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5,000f = 250,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 5,000 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since m + f = 75, then m = 25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have m = 25 and f = 50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "25 + 50 = 75 \n" ); document.write( "10,000 * 25 = 250,000 \n" ); document.write( "15,000 * 50 = 750,000 \n" ); document.write( "total = 1,000,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she could stock 25 midsize cars and 50 full size cars.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |